The basic governing equations in anisotropic elastic material under the effect of porous piezothermoelastic are presented. Biot [1], Lord & Shulman [4] and Sherief et al. [5] theories are used to develop the basic equations for porous piezothermoelastic with mass diffusion material. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the ...

Abstract The onset of thermal convection in an anisotropic horizontal porous layer heated from below and rotating about vertical axis, under local non-equilibrium hypothesis is studied. Linear nonlinear stability analysis the conduction solution performed. Coincidence between linear instability global thresholds with respect to L 2 —norm proved. Article Highlights A necessary sufficient conditi...

for better understanding the effect of nanofluid flow in a porous medium, a set of experiments were conducted on a horizontal glass micromodel for al2o3-water nanofluids. to characterize the flow of nanofluids the same experiment was done by pure water. the glass micromodel was constructed by a photolithography technique. the al2o3-water nanofluids were produced by a two-step method and no surf...

41 Abstract Ferro convection induced by magnetic field dependent viscosity in an anisotropic porous medium using Darcy model is studied with computational methods. Galerkin method is applied. Linear stability analysis is carried out for both stationary and oscillatory modes. The critical magnetic Rayleigh number is computed for various values of the parameters which characterize the flow. It is...

An analysis is performed to study the heat transfer characteristics of steady mixed convection flow over a permeable vertical flat plate embedded in an anisotropic fluid-saturated porous medium. The effects of uniform suction and injection on the flow field and heat transfer characteristics are numerically studied by employing an implicit finite difference Keller-box method. It is found that du...

Self-motile particles, such as microbes, that can preferentially orient their microscale movement are embedded in a multiscale anisotropic porous medium. Such an environment is consistent with most natural geological systems. The preferential directional orientation and position of the self-motile particles at the microscale is accounted for with an operator-stable Lévy process. The anisotropy ...